Acta Scientific Computer Sciences

Research Article Volume 4 Issue 6

Extreme Value Charts and ANOM Based on Gumbel Distribution

B Srinivas Rao1, C Chinnamamba2*, K Rosaiah3 and J Pratapa Reddy4

1R.V.R and J.C College of Engineering, Chowdavaram, Guntur, Andhra Pradesh, India
2KL University, Vaddeswaram, Vijayawada, Andhra Pradesh, India
3Department of Statistics, Acharya Nagarjuna University, Guntur, India
4St.Ann's College for Women Gorantla, Guntur, Andhra Pradesh, India

*Corresponding Author: C Chinnamamba, KL University, Vaddeswaram, Vijayawada, Andhra Pradesh, India.

Received: March 21, 2022; Published: May 30, 2022

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Abstract

The quality is assessable by its feature is implicit with a probability model which follow Gumbel distribution. From each subgroups extreme values are used to construct extreme value charts and variable control charts. Probability model of the extreme order statistics and the size of each sub group are used in control chart constants. To find the decision lines of Gumbel distribution we implement a method of analysis of means (ANOM). The proposed ANOM decision lines are constructed for given number of subgroup within means category and between means category given by Ott (1967). These decision lines are illustrated by giving few examples.


Keywords: Analysis of Means; Statistical Control; Quantile - Quantile Plot; Control Limits

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Citation

Citation: C Chinnamamba., et al. “Extreme Value Charts and ANOM Based on Gumbel Distribution". Acta Scientific Computer Sciences 4.6 (2022): 30-36.

Copyright

Copyright: © 2022 C Chinnamamba., et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.




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